Question

What is the equation of the line passing through the ponits(-2,5),(0,0),(4,-10)

a. y = -5/2 x
b. y = -72/5 x
c. y = 2/5 x
d. y = 5/2 x

Answer 1

The equation of the line passing through the points (-2,5), (0,0), and (4,-10) is y = -5/2 x.

Step-by-step explanation:

The equation of a line passing through two points can be found using the formula y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope, we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Let's calculate the slope using the given points:

1. Slope for (-2,5) and (0,0): m = (0 - 5) / (0 - (-2)) = -5 / 2
2. Slope for (0,0) and (4,-10): m = (-10 - 0) / (4 - 0) = -10 / 4 = -5/2

Since the slopes of both pairs of points are the same (-5/2), the equation of the line passing through these points is y = -5/2 x.